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Finding the Fourth Proportional to 398,518.80, 598,469.40 and 386,077.20

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Solution

The fourth proportional to 398,518.80, 598,469.40 and 386,077.20 is: 579,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,518.80 : 598,469.40 = 386,077.20 : x
  2. Step 2: Convert to fraction form
    398,518.80/598,469.40 = 386,077.20/x
  3. Step 3: Cross multiply
    398,518.80x = 598,469.40 × 386,077.20
  4. Step 4: Simplify right side
    398,518.80x = 231,055,390,237.68
  5. Step 5: Solve for x
    x = 231,055,390,237.68/398,518.80
  6. Step 6: Final answer
    x = 579,785.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.